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Finding the Fourth Proportional to 9,523.78, 13,140.50 and 5,542.49

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Solution

The fourth proportional to 9,523.78, 13,140.50 and 5,542.49 is: 7,647.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.78 : 13,140.50 = 5,542.49 : x
  2. Step 2: Convert to fraction form
    9,523.78/13,140.50 = 5,542.49/x
  3. Step 3: Cross multiply
    9,523.78x = 13,140.50 × 5,542.49
  4. Step 4: Simplify right side
    9,523.78x = 72,831,094.98
  5. Step 5: Solve for x
    x = 72,831,094.98/9,523.78
  6. Step 6: Final answer
    x = 7,647.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.